Differential Geometry: Connections, Curvature, and Characteristic Classes
by Loring W. Tu · Loring W. Tu
Graduate text by Loring Tu developing Riemannian geometry, connections and curvature on vector bundles, and Chern-Weil theory. Readers finish able to compute curvature and construct Pontrjagin, Euler and Chern classes from a connection on a bundle.
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